Answer:
Step-by-step explanation:
y=2x²-5x-7
y=2x+2
2x²-5x-7=2x+2
2x²-7x-9=0
2x²-9x+2x-9=0
x(2x-9)+1(2x-9)=0
(2 x-9)(x+1)=0
x=9/2 ,-1
y=11 ,0
solutions are (9/2,11),(-1,0)
Answer: x = 67.5 ft
Explanation:
Following the statements you can draw the triangles mnp and mab.
1) Both are similar triangles with the common vertex m, and with these corresponding sides:
- segment mn corresponding to ma
- segment np corresponding np
- segment mp corresponding mb
2) So, by side-angle-side theorem
segment ma segment mb
------------------ = ---------------------
segment mn segment mp
3) You know:
- segment mn = 71.5
- segment ma = 71.5 - 22 = 49.5
- segment mb = x
- segment mp = 97.5
4) Therefore:
x 49.5
--------- = ----------
97.5 71.5
5) Solve for x:
x = 97.5 * 49.5 / 71.5 = 67.5
Answer: x = 67.5 ft.
Yes because the line is curved
Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
